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Atlas › Integer Profiles › Node 23,806,912

23,806,912

26 × 29 × 101 × 127
Abundant Even Composite

23,806,912 factors as 2^6 × 29 × 101 × 127. Its 56 positive divisors give a proper-divisor sum of 25,936,448, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 101 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 49,743,360
Proper Divisor Sum 25,936,448
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #23806889 ← → #23806927

Radix Representation

Decimal 23806912
Binary 1011010110100001111000000 (25 bits)
Octal 0o132641700
Hexadecimal 0x16B43C0

Divisor Catalog (56)

1 2 4 8 16 29 32 58 64 101 116 127 202 232 254 404 464 508 808 928 1,016 1,616 1,856 2,032 2,929 3,232 3,683 4,064 5,858 6,464 7,366 8,128 11,716 12,827 14,732 23,432 25,654 29,464 46,864 51,308 58,928 93,728 102,616 117,856 187,456 205,232 235,712 371,983 410,464 743,966 820,928 1,487,932 2,975,864 5,951,728 11,903,456 23,806,912

Collatz Trajectory (146 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

23,806,912 11,903,456 5,951,728 2,975,864 1,487,932 743,966 371,983 1,115,950 557,975 1,673,926 836,963 2,510,890 1,255,445 3,766,336 1,883,168 941,584 470,792 235,396 117,698 58,849 176,548 88,274 44,137 132,412 66,206 33,103 99,310 49,655 148,966 74,483 223,450 111,725 335,176 167,588 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083 477,250 238,625 715,876 357,938 178,969 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006

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